We study term and inflation risk premia in real and nominal bonds, respectively, in an equilibrium model calibrated to United States data. Nominal wage and price rigidities, and an interest-rate monetary policy rule characterize our model economy. Wage rigidities induce positive term and inflation risk premia for permanent productivity shocks: they generate high marginal utility, expected consumption growth, inflation, and bond yields, simultaneously. Policy and inflation-target shocks increase real and nominal yield variability, respectively. Real-nominal bond return correlations are increased by the rigidities. Stronger policy responses to output and inflation reduce real term premia and increase inflation risk premia.